The length of the hypotenuse, line segment AC, in right triangle ABC is 25 cm. The length of line segment BC is 15 cm.



Which is the approximate measure of angle ACB?

Respuesta :

Answer:53.1 degrees

Step-by-step explanation:

Using relations in a right triangle, it is found that the approximate measure of angle ACB is of 53.1º.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

  • The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
  • The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
  • The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

In this problem:

  • The length of the side adjacent to angle C is of 15 cm.
  • The hypotenuse is of 25 cm.

Hence:

[tex]\cos{C} = \frac{15}{25}[/tex]

[tex]C = \cos^{-1}{\frac{15}{25}\left(\right)}[/tex]

[tex]C = 53.1[/tex]

The approximate measure of angle ACB is of 53.1º.

To learn more about relations in a right triangle, you can take a look at https://brainly.com/question/26396675